105165396 has 72 divisors (see below), whose sum is σ = 312049920. Its totient is φ = 29232576.

The previous prime is 105165377. The next prime is 105165419. The reversal of 105165396 is 693561501.

105165396 is a `hidden beast` number, since 1 + 0 + 516 + 53 + 96 = 666.

It is a super-2 number, since 2×105165396² = 22119521031673632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105165396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3685 + ... + 14963.

Almost surely, 2^105165396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105165396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156024960).

105165396 is an abundant number, since it is smaller than the sum of its proper divisors (206884524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105165396 is a wasteful number, since it uses less digits than its factorization.

105165396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333 (or 11328 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105165396 is about 10255.0180887212. The cubic root of 105165396 is about 472.0169784661.

The spelling of 105165396 in words is "one hundred five million, one hundred sixty-five thousand, three hundred ninety-six".